SOLUTION: The variable z varies jointly as the square of x and the square root of y. If z=7.2 when x=3 and y=16, find z when x=5 and y=4. I know that there are a system of equations that

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: The variable z varies jointly as the square of x and the square root of y. If z=7.2 when x=3 and y=16, find z when x=5 and y=4. I know that there are a system of equations that      Log On


   



Question 300690: The variable z varies jointly as the square of x and the square root of y. If z=7.2 when x=3 and y=16, find z when x=5 and y=4.
I know that there are a system of equations that could be used to solve this word problem, but I am at a loss for where to start and I can't seem to see the connections between the variables.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The variable z varies jointly as the square of x and the square root of y.
If z=7.2 when x=3 and y=16, find z when x=5 and y=4.
:
z+=+x%5E2%2Asqrt%28y%29%2Ak
Find k when; z=7.2 when x=3 and y=16,
7.2+=+3%5E2%2Asqrt%2816%29%2Ak
7.2 = 9*4*k
7.2 = 36k
k = 7.2%2F36
k = .2
:
The equation
z+=+.2%2Ax%5E2%2Asqrt%28y%29
:
find z when x=5 and y=4.
z+=+.2%2A5%5E2%2Asqrt%284%29
z = .2*4*2
z = 1.6